Master stability function for piecewise smooth Filippov networks?

被引：5

作者：

Dieci, Luca ^{[1
]}

Elia, Cinzia ^{[2
]}

机构：

[1] Georgia Tech, Sch Math, Atlanta, GA 30332 USA

[2] Univ Bari, Dipartimento Matemat, I-70100 Bari, Italy

来源：

AUTOMATICA | 2023年 / 152卷

关键词：

Piecewise smooth networks; Synchronization; Fundamental matrix solution; Filippov; Master stability function; Floquet multipliers; Floquet exponents; DYNAMICAL-SYSTEMS; SYNCHRONIZATION;

D O I：

10.1016/j.automatica.2023.110939

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a network of identical piecewise smooth bimodal systems, also known as systems of Filippov type, that synchronizes along the asymptotically stable periodic orbit of a single agent. We explicitly characterize the fundamental matrix solution of the network along the synchronous solution and extend the Master Stability Function tool to the present case of non-smooth dynamics of Filippov type. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：12

共 24 条

[1]

Aizerman M., 1958, J. Appl. Math. Mechan., V22, P1065

[2]

[Anonymous], 1988, Mathematics and Its Applications (Soviet Series)

[3] On continuous approximation of discontinuous systems [J].